Algebra 1 13.5 Week Review 3

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the domain and range of a linear function?

Back

For linear functions, the domain is usually all real numbers, and the range is also all real numbers unless specified otherwise.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you solve for y in the equation 12x - 6y = 42?

Back

To solve for y, rearrange the equation to isolate y: 6y = 12x - 42, then y = 2x - 7.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is changed or controlled in an experiment, while the dependent variable is the variable that is measured or affected.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at points where the input does not produce a valid output, such as division by zero.